Dear James,
Thanks for getting back to me! What I am trying to do is to study the fundamental structure of spacetime, quantum gravity, and unification by means of causal structures (i.e. directed graphs). I use a generalized version of Feynman's sum-over-histories method. There are obvious analogies to computing (sequential computing corresponds to causal sequences, and parallel computing corresponds to spacelike separation.) I noticed that your paper contains many similar features, and probably includes things I have not thought of. Hence, I have some questions:
1. I am not sure what your view of fundamental spacetime structure is. You hint that spacetime is emergent when you identify time as "evolutionary causality" and space as "scalar and recursive causality" on page 4, but I am not certain what the exact interpretation is.
2. On a related note, when you discuss "scalar causality," you mention "billions or more of simple causal connections through alternate pathways." By "simple," do you mean that there is a fundamental "quantum" or "unit" of causality? By "alternate pathways," do you mean that the pathways are "already there," or is this just a way of talking about which causal relations "actually do happen?" The point of these questions is that I am trying to understand if the causal relationships occur "in" some spacetime or network or other structure, or if they define "spacetime."
3. I am trying to understand how "relativity" comes in. When you discuss "instantaneous feedback," etc., it seems as though there must be an independent notion of time. What does a "frame of reference" look like?
I have further questions, but I can ask them more intelligently after I know the answers to these first few questions. I try to explain fairly precisely what my approach is in my essay, so hopefully we can get on the same wavelength. Take care,
Ben